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Finding the Fourth Proportional to 16,281.19, 22,468.42 and 9,207.60

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Solution

The fourth proportional to 16,281.19, 22,468.42 and 9,207.60 is: 12,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.19 : 22,468.42 = 9,207.60 : x
  2. Step 2: Convert to fraction form
    16,281.19/22,468.42 = 9,207.60/x
  3. Step 3: Cross multiply
    16,281.19x = 22,468.42 × 9,207.60
  4. Step 4: Simplify right side
    16,281.19x = 206,880,223.99
  5. Step 5: Solve for x
    x = 206,880,223.99/16,281.19
  6. Step 6: Final answer
    x = 12,706.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.